Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 110945 Luke Durant 1 58.0015 26693 Curtis Cooper 8 56.5769 24021 Patrick Laroche 1 56.4714 19569 Jonathan (Jon) Pace 1 56.2664 17127 Ryan Propper 377.5 56.1331 4743 Tom Greer 125 54.8490 3878 Serge Batalov 399.833 54.6478 3292 Edson Smith 1 54.4841 3184 Odd Magnar Strindmo 1 54.4507 2090 Hans-Michael Elvenich 1 54.0294 1268 Dr. James Scott Brown 192 53.5298 1265 Steven R. Boone 1 53.5273 1221 Péter Szabolcs 1 53.4922 1186 Valter Cavecchia 114 53.4627 904 Antonio Lucendo 38 53.1920 828 Anonymous Person(s) 159 53.1034 717 Vaughan Davies 164 52.9594 698 Dr. Martin Nowak 1 52.9330 639 Mark Williams 21 52.8452 551 Josh Findley 1 52.6968

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.